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Popular >

simplify (\sqrt[3]{64})^{3/2}

Solution

simplify

Solution

8

Solution steps

= 4^{\frac{3}{2}}

Factor the number:

4 = 2^{2}

= (2^{2})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{2 \cdot \frac{3}{2}}

2 \cdot \frac{3}{2} = 3

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{64})^{3/2} ?
The solution to (\sqrt[3]{64})^{3/2} is 8